Search a number
-
+
12252341506305 = 352274917328591
BaseRepresentation
bin1011001001001011100001…
…1101101001000100000001
31121101022102202010210201110
42302102320131221010001
53101220243411200210
642020351544153533
72403126305304165
oct262227035510401
947338382123643
1012252341506305
1139a42093a942a
12145a7044688a9
136ab5108c6c64
14305033384ca5
15163aa15a9420
hexb24b8769101

12252341506305 has 32 divisors (see below), whose sum is σ = 19730211268608. Its totient is φ = 6492544452800.

The previous prime is 12252341506283. The next prime is 12252341506309. The reversal of 12252341506305 is 50360514325221.

It is not a de Polignac number, because 12252341506305 - 27 = 12252341506177 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12252341506309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1992441 + ... + 5336150.

It is an arithmetic number, because the mean of its divisors is an integer number (616569102144).

Almost surely, 212252341506305 is an apocalyptic number.

12252341506305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12252341506305 is a deficient number, since it is larger than the sum of its proper divisors (7477869762303).

12252341506305 is a wasteful number, since it uses less digits than its factorization.

12252341506305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7329317.

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 12252341506305 in words is "twelve trillion, two hundred fifty-two billion, three hundred forty-one million, five hundred six thousand, three hundred five".

Divisors: 1 3 5 15 227 491 681 1135 1473 2455 3405 7365 111457 334371 557285 1671855 7328591 21985773 36642955 109928865 1663590157 3598338181 4990770471 8317950785 10795014543 17991690905 24953852355 53975072715 816822767087 2450468301261 4084113835435 12252341506305